The points are $A(-3,2)$, $B(5,8)$ and $C(1,-4)$. Find the gradient of AB.[1] Find the equatio

Question

The points are $A(-3,2)$, $B(5,8)$ and $C(1,-4)$. Find the gradient of AB.[1] Find the equation of the line through C parallel to AB. Then determine whether $AB=AC$, showing a calculation.[3]

Accepted Answer

(a) $\dfrac34$ (b) $y=\dfrac34x-\dfrac{19}{4}$; $AB\ne AC$

A parallel line and equal lengths

A parallel line and equal lengths

Solution:

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